13960128 has 224 divisors, whose sum is σ = 49158144. Its totient is φ = 3391488.

The previous prime is 13960123. The next prime is 13960139. The reversal of 13960128 is 82106931.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 13960095 and 13960104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13960123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297001 + ... + 297047.

It is an arithmetic number, because the mean of its divisors is an integer number (219456).

Almost surely, 2^13960128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).

13960128 is an abundant number, since it is smaller than the sum of its proper divisors (35198016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13960128 is a wasteful number, since it uses less digits than its factorization.

13960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13960128 is about 3736.3254676219. The cubic root of 13960128 is about 240.7852060241.

The spelling of 13960128 in words is "thirteen million, nine hundred sixty thousand, one hundred twenty-eight".